Abstract
We show that the τ-functions obtained from Schur polynomials lead to wave functions w(x 1, x 2, ... ; k) that possess the following bispectral property: There exists a differential operator B{k,∂k}, independent of x 1 , such that B{k,∂k}w = Θ {x 1}w, where {x 1} is independent of k. This extends for the KP hierarchy some earlier results of J. J. Duistermaat and F. A. Grunbaum for the rational solutions of KdV and of P. Wright for certain rational solutions of the generalized KdV equations.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
